MEDIUM
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If 5p2-7p-3=0 and 5q2-7q-3=0, pq , then the equation whose roots are 5p-4q and 5q-4p is

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Important Questions on Quadratic Equations

MEDIUM

The roots of the quadratic equation ax2+2bx+c=0, a0 are real and unequal, then b2> _____

EASY
Determine the equation whose roots are the square of the roots of the equation x2+x+1=0
MEDIUM
Find the value of k if the roots of the equation x2-kx+4=0 are real and equal.
MEDIUM

The product of two roots of the equation x2-7x+3=0

MEDIUM
Form the quadratic equation whose roots are : p-qp+q and -p+qp-q p±q.
EASY
If the roots of the quadratic equation 5x2-2x+3=0 be α and β, then find the value of 1α+1β.
EASY
If the price of 1 dozen pens is reduced by 6, then 3 more pens will be bought at 30. Calculate the price of one dozen pens (in ) before the reduction of price.
EASY
The product of roots of quadratic equation 2x2-4x+3=0 will be
EASY
Find the quadratic equation, the sum of whose roots is 7 and the sum of the squares of the roots is 25.
EASY

If the roots of a quadratic equation are 2 and -3, then write the equation.

EASY
Construct a quadratic equation whose roots are 3 and -8.
HARD
Let α=-1+i32. If a=1+αk=0100α2k and b=k=0100α3k, then a and b are the roots of the quadratic equation
HARD
The sum of two roots of a quadratic equation is 5 and sum of their cubes is 35, find the equation.
MEDIUM

Form the quadratic equation from the roots 0 and 4.

MEDIUM
Frame quadratic equations for the following roots.
2, -3
MEDIUM
Frame quadratic equations for the following roots.
12,-35
MEDIUM
The equation whose roots are reciprocal of the roots of the equation 3x2- 20x+17=0 is -
HARD

Form the quadratic equation from the roots 12 and -12.

MEDIUM
Frame quadratic equations for the following roots.
-23,-14
MEDIUM
A two digit number is four times the sum and three times the product of its digits. Find the number.